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Finding the Fourth Proportional to 301,284.28, 451,459.62 and 190,243

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Solution

The fourth proportional to 301,284.28, 451,459.62 and 190,243 is: 285,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,284.28 : 451,459.62 = 190,243 : x
  2. Step 2: Convert to fraction form
    301,284.28/451,459.62 = 190,243/x
  3. Step 3: Cross multiply
    301,284.28x = 451,459.62 × 190,243
  4. Step 4: Simplify right side
    301,284.28x = 85,887,032,487.66
  5. Step 5: Solve for x
    x = 85,887,032,487.66/301,284.28
  6. Step 6: Final answer
    x = 285,069.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.